A122930 - OEIS

%I #4 Mar 31 2012 13:23:38

%S 1,0,2,1,0,6,1,2,0,15,2,2,6,0,40,3,4,6,15,0,104,5,6,12,15,40,0,273

%N Triangular array read by rows, based on the Zeckendorf expansion of n and containing the golden rectangle sequence A001629.

%e The array begins

%e 1

%e 0 2

%e 1 0 6

%e 1 2 0 15

%e 2 2 6 0 40

%e 3 4 6 15 0 104

%e 5 6 12 15 40 0 273

%e Row five is

%e 2 2 6 0 40

%e because the values

%e 1 2 3 5 8 in Zeckendorf's expansion occur

%e 2 1 2 0 5 times for natural numbers 8 through 12.

%Y Cf. A122931.

%K nonn,tabl

%O 1,3

%A _Alford Arnold_, Sep 20 2006